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87136452 = 223313531171
BaseRepresentation
bin1010011000110…
…01100011000100
320001221222202000
411030121203010
5134301331302
612351345300
72105435064
oct514314304
9201858660
1087136452
11452059a7
1225222230
131508b740
14b8033a4
1579b331c
hex53198c4

87136452 has 96 divisors (see below), whose sum is σ = 248088960. Its totient is φ = 26282880.

The previous prime is 87136433. The next prime is 87136463. The reversal of 87136452 is 25463178.

87136452 is a `hidden beast` number, since 8 + 7 + 1 + 3 + 645 + 2 = 666.

It is a super-2 number, since 2×871364522 = 15185522534296608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73827 + ... + 74997.

It is an arithmetic number, because the mean of its divisors is an integer number (2584260).

Almost surely, 287136452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87136452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124044480).

87136452 is an abundant number, since it is smaller than the sum of its proper divisors (160952508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87136452 is a wasteful number, since it uses less digits than its factorization.

87136452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 87136452 is about 9334.6907822380. The cubic root of 87136452 is about 443.3362983703.

The spelling of 87136452 in words is "eighty-seven million, one hundred thirty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 318 351 468 477 636 689 702 954 1171 1378 1404 1431 1908 2067 2342 2756 2862 3513 4134 4684 5724 6201 7026 8268 10539 12402 14052 15223 18603 21078 24804 30446 31617 37206 42156 45669 60892 62063 63234 74412 91338 124126 126468 137007 182676 186189 248252 274014 372378 411021 548028 558567 744756 806819 822042 1117134 1613638 1644084 1675701 2234268 2420457 3227276 3351402 4840914 6702804 7261371 9681828 14522742 21784113 29045484 43568226 87136452